Pexeso

Drawing paper has dimensions of 60cm and 840mm. Pupils have to divide it into squares so that they can make a pexeso. What dimension must squares have if their side is to be larger than 3cm and less than 10cm?

Correct result:

x1 =  60 mm
x2 =  40 mm

Solution:

a=60 cm mm=60 10  mm=600 mm b=840 mm  600=23352 840=23357 GCD(600,840)=2335=120  y=GCD(a,b)=GCD(600,840)=120  30<x<100  x1=y/2=120/2=60 mm
x2=y/3=120/3=40 mm



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